Plenary Lecture

An Exponential-Fitting Method for the
Quantum Corrected Equations

Assistant Professor Ren-Chuen Chen
Department of Mathematics
National Kaohsiung Normal University
Yanchao Campus: No.62, Shenjhong Rd., Yanchao Township
Kaohsiung County, 824, Taiwan (R.O.C.)
E-mail: rcchen@nknucc.nknu.edu.tw

Abstract: This paper deals with the numerical solution by an exponential-fitting method of the quantum corrected equations. The method is based on the exponential variation phenomenon of the carrier density in semiconductor devices. It allows the mesh requirements to be relaxed considerably. Numerical examples are solved to demonstrate the usefulness of this approach. The numerical results show that the method is efficient and accurate for the simulation of semiconductor devices.

Brief Biography of the Speaker:
Education:
Ph.D in Applied Mathematics, Department of Applied Mathematics, National
Chiao Tung University, Taiwan (R.O.C.)
M.S. in Applied Mathematics, Department of Applied Mathematics, National
Chiao Tung University, Taiwan (R.O.C.)
B.S. in Mathematics, Department of Mathematics, National Kaohsiung Normal
University, Taiwan (R.O.C.)
Research Interests:
Numerical methods for PDEs
Scientific computation